应用胞映射算法研究非线性化学模拟系统

Study on the Cell Mapping Algorithm to Nonlinear Chemical Emulation Systems

用简单胞映射和广义胞映射算法程序对若干非线性化学动力学模拟系统的演化过程、内在机制和全局性态进行了数值计算和分析 ,结果表明 :胞映射方法在普适性和定量性方面表现出很好的解析功能 ,能够从复杂动力学系统中提取其他方法无法获取的分形结构、化学混沌、演化模式和稳定性特征 。

The numerical emulation computing and analysis of the evolution process, mechanisms and global behaviors of some classical nonlinear chemical emulation dynamics systems were dealt with simple cell mapping and generalized cell mapping method, and the results show that cell mapping method has well solving capability on the universal applicability and quantitative features so that it could obtain in detail the information about the fractal structures, chemical chaos,stability features and evolution of process which could not be obtained by other numerical methods, and exhibits the internal rules and mechanisms under the complex nonlinear chemcial emulation dynamic systems.